Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( \frac{11}{21} \)
Solution
To solve the subtraction of the two fractions \( \frac{6}{7} - \frac{2}{6} \), follow these steps:
1. **Find a Common Denominator:**
- The denominators are 7 and 6.
- The Least Common Denominator (LCD) of 7 and 6 is **42**.
2. **Convert Each Fraction to the Common Denominator:**
- \( \frac{6}{7} = \frac{6 \times 6}{7 \times 6} = \frac{36}{42} \)
- \( \frac{2}{6} = \frac{2 \times 7}{6 \times 7} = \frac{14}{42} \)
3. **Subtract the Fractions:**
- \( \frac{36}{42} - \frac{14}{42} = \frac{36 - 14}{42} = \frac{22}{42} \)
4. **Simplify the Result:**
- \( \frac{22}{42} \) can be simplified by dividing both the numerator and the denominator by **2**:
- \( \frac{22 \div 2}{42 \div 2} = \frac{11}{21} \)
**Final Answer:** \( \frac{11}{21} \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To solve \( \frac{6}{7}-\frac{2}{6} \), we first need a common denominator. The least common multiple of 7 and 6 is 42. Rewriting the fractions gives us \( \frac{36}{42} - \frac{14}{42} \). Subtracting these results in \( \frac{22}{42} \), which can be simplified to \( \frac{11}{21} \). So, \( \frac{6}{7}-\frac{2}{6} = \frac{11}{21} \). Now go out there and dazzle your friends with your newfound fraction prowess! Just remember, whenever you’re dealing with fractions, finding a common denominator is your reliable sidekick in this mathematical adventure!
